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131309993 is a prime number
BaseRepresentation
bin1111101001110…
…10000110101001
3100011002020110002
413310322012221
5232103404433
621010232345
73153054653
oct764720651
9304066402
10131309993
1168137161
1237b856b5
1321286b29
14136216d3
15b7db9e8
hex7d3a1a9

131309993 has 2 divisors, whose sum is σ = 131309994. Its totient is φ = 131309992.

The previous prime is 131309957. The next prime is 131310043. The reversal of 131309993 is 399903131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130690624 + 619369 = 11432^2 + 787^2 .

It is a cyclic number.

It is not a de Polignac number, because 131309993 - 214 = 131293609 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131309953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65654996 + 65654997.

It is an arithmetic number, because the mean of its divisors is an integer number (65654997).

Almost surely, 2131309993 is an apocalyptic number.

It is an amenable number.

131309993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131309993 is an equidigital number, since it uses as much as digits as its factorization.

131309993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683, while the sum is 38.

The square root of 131309993 is about 11459.0572474353. The cubic root of 131309993 is about 508.2755973006.

The spelling of 131309993 in words is "one hundred thirty-one million, three hundred nine thousand, nine hundred ninety-three".